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Finding the Third Proportional to 404,169 and 879,294

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Solution

The third proportional to 404,169 and 879,294 is: 1,912,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,169 : 879,294 = 879,294 : x
  2. Step 2: Convert to fraction form
    404,169/879,294 = 879,294/x
  3. Step 3: Cross multiply
    404,169x = 879,294 × 879,294
  4. Step 4: Simplify right side
    404,169x = 773,157,938,436
  5. Step 5: Solve for x
    x = 773,157,938,436/404,169
  6. Step 6: Final answer
    x = 1,912,957.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.